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Oliga [24]
3 years ago
5

O

Mathematics
1 answer:
xxTIMURxx [149]3 years ago
7 0

Answer:

Dont know

Step-by-step explanation:

I dont know Archer's equation but the answer for Jenna equatiok is x=10

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What is cos theta when sin theta = sqrt 2/3
Fittoniya [83]

<u>Answer:</u>

Value of cosθ is ±√7/3 .

<u>Step-by-step explanation:</u>

According to the Question , value of :

\red{\implies sin\theta = \dfrac{\sqrt2}{3}}

And , we know the identity of sine and cosine as ,

\boxed{\pink{\sf\implies sin^2\theta + cos^2\theta = 1} }

<u>Using</u><u> </u><u>,</u><u> </u><u>this</u><u> </u><u>ident</u><u>ity</u><u> </u><u>we</u><u> </u><u>have</u><u> </u><u>;</u><u> </u>

\implies sin^2\theta + cos^2\theta = 1 \\\\\implies \bigg( \dfrac{\sqrt2}{3}\bigg)^2 + cos^2\theta = 1 \\\\\implies \dfrac{2}{9} + cos^2\theta = 1 \\\\\implies cos^2\theta = 1 - \dfrac{2}{9} \\\\\implies cos^2\theta = \dfrac{9-2}{9} \\\\\implies cos\theta = \sqrt{\dfrac{7}{9}} \\\\\underline{\boxed{\blue{\bf \implies cos\theta = \pm \dfrac{\sqrt 7 }{3}}}}

Now , here since θ is in 2nd quadrant and in 2nd quadrant cos is negative . Hence ,the value of cos will be :

\boxed{\orange{\bf \implies cos\theta =-\dfrac{\sqrt7}{3}}}

3 0
2 years ago
Find the value of x, y, and z in the parallelogram below.
telo118 [61]

The values of x, y, and z of the parallelogram are -19°, -115° and 27°

<h3>What is a parallelogram?</h3>

A parallelogram is a two-dimensional geometrical shape whose sides are parallel to each other. It is a type of polygon having four sides (also called quadrilateral), where the pair of parallel sides are equal in length. The Sum of adjacent angles of a parallelogram is equal to 180 degrees.

for a parallelogram opposite angles are equal

-4x -1 = 75

-4x = 76

x = 76/-4

x = -19°

sum of adjacent angles are supplementary

(-y-10) + 75 = 180

-y + 65 = 180

-y = 180 - 65

-y = 115

y = -115°

Also

4z - 3 + 75 = 180

4z + 72 = 180

4z = 180 - 72

4z = 108

z = 108/4

z = 27°

In conclusion, the values of x = -19, y = -115, z = 27

Learn more about Parallelogram: brainly.com/question/20526916

#SPJ1

8 0
1 year ago
At lunch, $60\%$ of the students selected soda while $20\%$ selected milk. If 72 students selected soda, how many students selec
Nadusha1986 [10]

Answer:

24 students

Step-by-step explanation:

If 60% equals 72, then 20% would be 1/3 of 72 which is 24.

7 0
3 years ago
Read 2 more answers
HELPPP PLZ I WILL GIVE 15囧rz and brainliest
kati45 [8]

Answer:

you are a lie you said you will give 15 points and its only 8

Step-by-step explanation:

6 0
3 years ago
Let f(x) = -3x + 2 and g(x) = 2x – 5;<br> compute g(f(x))
ki77a [65]

Answer:

g(f(x)) = -6x+6.

Step-by-step explanation:

It is given that,

f(x) = -3x + 2 and g(x) = 2x – 5

We need to find g(f(x)).

Put it into g(x).

g(f(x)) = 2(-3x + 2)+2

= -6x+4+2

=-6x+6

Hence, the value of g(f(x)) is -6x+6.

8 0
2 years ago
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